## SciPost Submission Page

# $\mathcal{I}$/$c$-Extremization in M/F-Duality

### by Marieke van Beest, Sebastjan Cizel, Sakura Schafer-Nameki, James Sparks

#### - Published as SciPost Phys. 9, 029 (2020)

### Submission summary

As Contributors: | Sebastjan Cizel |

Preprint link: | scipost_202008_00007v1 |

Date accepted: | 2020-08-25 |

Date submitted: | 2020-08-14 14:02 |

Submitted by: | Cizel, Sebastjan |

Submitted to: | SciPost Physics |

Discipline: | Physics |

Subject area: | High-Energy Physics - Theory |

Approach: | Theoretical |

### Abstract

We study the holographic dual to $c$-extremization for 2d $(0,2)$ superconformal field theories (SCFTs) that have an AdS$_3$ dual realized in Type IIB with varying axio-dilaton, i.e. F-theory. M/F-duality implies that such AdS$_3$ solutions can be mapped to AdS$_2$ solutions in M-theory, which are holographically dual to superconformal quantum mechanics (SCQM), obtained by dimensional reduction of the 2d SCFTs. We analyze the corresponding map between holographic $c$-extremization in F-theory and $\mathcal{I}$-extremization in M-theory, where in general the latter receives corrections relative to the F-theory result.

Published as SciPost Phys. 9, 029 (2020)

### List of changes

Added footnote 7 on page 23 addressing the potential interpretation of $N_0$ as a momentum.